Addition of Fractions

Are you finding the addition of fractions hard to solve in your Mathematical questions?

In this lesson…

You will see and learn the step-by-step method for the addition of fraction…

ALSO SEE: How To Solve Subtraction Of Fractions

Take note.

A link for you to practice past exam questions on fractions is included at the end of this lesson.

Question on addition of fraction

Let’s take an example.


2\frac{1}{3} + \frac{10}{4}

1. Convert any mixed fraction to improper fraction

2\frac{1}{3} (mixed fraction)


= \dfrac{7}{3} (improper fraction)


\dfrac{7}{3} + \dfrac{10}{4}

  • See How To Convert Mixed Fraction To Improper Fraction

2. Find the LCM of the denominators

The LCM of 3 and 4

= 12

  • See How To Find the LCM of Fractions in Mathematics

3. Write the LCM as your new denominator


4. Divide the LCM by the old denominators

12 ÷ 3 = 4

12 ÷ 4 = 3

5. Multiply the answer by their numerator

4 × 7 = 28

3 × 10 = 30

6. Write the answers as new numerators


7. Add the new numerators


= \dfrac{58}{12}

8. Reduce to its lowest form


= \dfrac{29}{6}

  • See How To Reduce Any Fraction To Its Lowest Form


Click on the link below to practice past questions on fractions now.


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